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Finding the Fourth Proportional to 59,786, 82,508.42 and 32,928.50

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Solution

The fourth proportional to 59,786, 82,508.42 and 32,928.50 is: 45,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,786 : 82,508.42 = 32,928.50 : x
  2. Step 2: Convert to fraction form
    59,786/82,508.42 = 32,928.50/x
  3. Step 3: Cross multiply
    59,786x = 82,508.42 × 32,928.50
  4. Step 4: Simplify right side
    59,786x = 2,716,878,507.97
  5. Step 5: Solve for x
    x = 2,716,878,507.97/59,786
  6. Step 6: Final answer
    x = 45,443.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.